In Section  we revisit some singular problems within the context of our developed framework. We discuss four types of problems, all with the assumption of elastic inextensibility (i.e., vanishing of elastic stretching strains over \(\Omega \) ). First, we consider a plate domain with a singularity only at \(O\) , see Section REF . Such a scenario can emerge if there is an isolated defect at \(O\)  [1]}, [2]}, or if there is a point supported transverse force (or force couple) at \(O\) , or during constrained deformations [3]}, [4]}, [5]}. Only in the first case, there will be a non-trivial Gaussian curvature at \(O\) . We establish that for a compatible bending strain, with a singular support at \(O\) , and a Gaussian curvature, which necessarily vanishes outside \(O\) , the deformation is conical (i.e., of the form \(w=rg(\theta )\) ). In another result we demonstrate that a conical deformation, with a logarithmic stress function (i.e., \(\phi \)  proportional to \(\ln r\) ), satisfies equilibrium with neither bulk nor point supported external forces (or couples). Several issues associated with the singular solution to the disclination problem and the constrained deformation problem are discussed. Secondly, in Section REF , we allow the plate domain to develop a fold, as a concentration in bending strain, without any point \(O\)  of singularity. The fold \(S\)  can either close onto itself or end at the boundary of the domain. We first reduce the general von Kármán equations to the case at hand and then discuss solutions for a linear and a circular fold. Third, we consider a linear fold whose one end is on the boundary of \(\Omega \)  and the other end is at an internal point \(O\)  inside the domain [6]}, see Section REF . Therefore we have a situation where we have a singular interface terminating at a singular point. We establish the validity of the conical deformation, with \(g\)  continuous but piecewise smooth across the fold, and a logarithmic stress function. In all our problems, we verify that the considered solutions satisfy the local equations in bulk, on the interface, and at the singular point. Finally, in Section REF , we consider a problem where several straight folds terminate at an internal singular point \(O\)  in the domain, while having their other end point on the boundary of the domain. The strength of the point supported Gaussian curvature at \(O\)  is calculated in terms of the strength and orientation of the intersection folds.
